Given numbers are 532,828,620,740,749

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 532,828,620,740,749 is 67577041980.

Find LCM of 532,828,620,740,749 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 7 x 19 x 207 x 31 x 37 x 107 = 67577041980

Therefore, the lowest common multiple of 532,828,620,740,749 is 67577041980.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

532 x 828 x 620 x 740 x 749 = 151372574035200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,828,620,740,749, is 1.

Now, the common factors can be found like this.

532:2x 2x 7x 19

828:2x 2x 3x 3x 23

620:2x 2x 5x 31

740:2x 2x 5x 37

749:7x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 5x 7 = 2240

Therefore, the value for common factors is 2240.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 151372574035200/(1x2240)

LCM = 151372574035200/2240

LCM = 67577041980

Thus, we can understand that the LCM of 532,828,620,740,749 is 67577041980.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 599, 973, 375, 241, 180
• LCM of 220, 634, 379, 581, 593
• LCM of 365, 647, 314, 755, 220
• LCM of 538, 185, 863, 868, 718
• LCM of 465, 611, 984, 985, 444

1. What is the LCM of 532, 828, 620, 740, 749?

Answer: LCM of 532, 828, 620, 740, 749 is 67577041980.

2. How to calculate the LCM of 532, 828, 620, 740, 749?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 532, 828, 620, 740, 749.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.